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Finding the Third Proportional to 314,559,128 and 689,584,432

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Solution

The third proportional to 314,559,128 and 689,584,432 is: 1,511,724,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,559,128 : 689,584,432 = 689,584,432 : x
  2. Step 2: Convert to fraction form
    314,559,128/689,584,432 = 689,584,432/x
  3. Step 3: Cross multiply
    314,559,128x = 689,584,432 × 689,584,432
  4. Step 4: Simplify right side
    314,559,128x = 475,526,688,856,762,624
  5. Step 5: Solve for x
    x = 475,526,688,856,762,624/314,559,128
  6. Step 6: Final answer
    x = 1,511,724,335.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.